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Finding the Third Proportional to 347,738 and 741,407

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Solution

The third proportional to 347,738 and 741,407 is: 1,580,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,738 : 741,407 = 741,407 : x
  2. Step 2: Convert to fraction form
    347,738/741,407 = 741,407/x
  3. Step 3: Cross multiply
    347,738x = 741,407 × 741,407
  4. Step 4: Simplify right side
    347,738x = 549,684,339,649
  5. Step 5: Solve for x
    x = 549,684,339,649/347,738
  6. Step 6: Final answer
    x = 1,580,742.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.